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Open Quantum Systems Decoherence

Closed-Form Solutions of the Fundamental Equation That Describes User Dynamics in Online Social Networks

arXiv
Authors: T. Ikeya, Masaki Aida

Year

2020

Paper ID

19399

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

The oscillation model, based on the wave equation on networks, can describe user dynamics in online social networks. The fundamental equation of user dynamics can be introduced into the oscillation model to explicitly describe the causal relation of user dynamics yielded by certain specific network structures. Moreover, by considering the sparseness of online social networks, a novel fundamental equation of different form has been devised. In this paper, we derive a closed-form solution of the new fundamental equation. Also, we find the closed-form solution of the new fundamental equation can generate the general solution of the original wave equation.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • The oscillation model, based on the wave equation on networks, can describe user dynamics in online social networks.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2011.05391 [2] arXiv https://arxiv.org/abs/2011.05391 [3] Publisher https://arxiv.org/abs/2011.05391

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